{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4O26E2QBHSJL5C7E632DWAIEE7","short_pith_number":"pith:4O26E2QB","canonical_record":{"source":{"id":"1312.4250","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-12-16T05:21:21Z","cross_cats_sorted":[],"title_canon_sha256":"6fed5c028471397678a2587e9b9ac6a85b1af5b4fb4349af00cdf0f031113939","abstract_canon_sha256":"691c117188279c2d540e0c5f7b1c13296b071e40ed59e3db134993f1b13387ee"},"schema_version":"1.0"},"canonical_sha256":"e3b5e26a013c92be8be4f6f43b010427f38ef568616d5e04458bc77f479d7ac6","source":{"kind":"arxiv","id":"1312.4250","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4250","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4250v2","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4250","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"4O26E2QBHSJL","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4O26E2QBHSJL5C7E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4O26E2QB","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4O26E2QBHSJL5C7E632DWAIEE7","target":"record","payload":{"canonical_record":{"source":{"id":"1312.4250","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-12-16T05:21:21Z","cross_cats_sorted":[],"title_canon_sha256":"6fed5c028471397678a2587e9b9ac6a85b1af5b4fb4349af00cdf0f031113939","abstract_canon_sha256":"691c117188279c2d540e0c5f7b1c13296b071e40ed59e3db134993f1b13387ee"},"schema_version":"1.0"},"canonical_sha256":"e3b5e26a013c92be8be4f6f43b010427f38ef568616d5e04458bc77f479d7ac6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:34.143728Z","signature_b64":"DFtSyvC97FiYz6CeGr/rGXCVKnVikvcD86rKzl4adWyCghj91FSbAx4rs4K55qbl2fuK+/cVtPzlLVhrRhJ9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3b5e26a013c92be8be4f6f43b010427f38ef568616d5e04458bc77f479d7ac6","last_reissued_at":"2026-05-18T02:52:34.143283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:34.143283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.4250","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1vSzSUqC2Kzu8NTe8ZZ3XEKbgg+r8EpzB2aqEILQFjNXlQNFZ1r17uSDfDpAKKsHSzN6O3i8F3JnPJklkHf8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:41:58.432330Z"},"content_sha256":"df1d55d4169fa64c0a4ca553029bd720b26715544986c4c978306f847326bea7","schema_version":"1.0","event_id":"sha256:df1d55d4169fa64c0a4ca553029bd720b26715544986c4c978306f847326bea7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4O26E2QBHSJL5C7E632DWAIEE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of Circulating Energetic Ions on Geodesic Acoustic Modes with Finite Wave Numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Haijun Ren","submitted_at":"2013-12-16T05:21:21Z","abstract_excerpt":"Effects of circulating energetic particles on the geodesic acoustic modes (GAMs) with finite wave numbers are analyzed by using the hybrid kinetic-fluid model. The dispersion relation is derived by adopting the slowing beam ions distribution function in the presence of finite parallel wave number (FPWN), which is shown to affect the GAM as the toroidal rotation to the classical GAMs with zero wave numbers. The effects of CEIs can be divided into two parts. One is contributed by the poloidal angle and kinetic energy dependencies of the unperturbed distribution function, and is independent of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4250","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gyAF/7F9/H6ViJuFkdJNwREdy8/03JgF7angdCTGGgMX8QNulMsg9xwM5rGO+wCtNHFWwD0QvugbRaP+DWFJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:41:58.432690Z"},"content_sha256":"d38707517386153c53e26d9cd52f9cac4e22dcb2e4d5c384fe9ef6c8ec0e5557","schema_version":"1.0","event_id":"sha256:d38707517386153c53e26d9cd52f9cac4e22dcb2e4d5c384fe9ef6c8ec0e5557"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4O26E2QBHSJL5C7E632DWAIEE7/bundle.json","state_url":"https://pith.science/pith/4O26E2QBHSJL5C7E632DWAIEE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4O26E2QBHSJL5C7E632DWAIEE7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T09:41:58Z","links":{"resolver":"https://pith.science/pith/4O26E2QBHSJL5C7E632DWAIEE7","bundle":"https://pith.science/pith/4O26E2QBHSJL5C7E632DWAIEE7/bundle.json","state":"https://pith.science/pith/4O26E2QBHSJL5C7E632DWAIEE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4O26E2QBHSJL5C7E632DWAIEE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4O26E2QBHSJL5C7E632DWAIEE7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"691c117188279c2d540e0c5f7b1c13296b071e40ed59e3db134993f1b13387ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-12-16T05:21:21Z","title_canon_sha256":"6fed5c028471397678a2587e9b9ac6a85b1af5b4fb4349af00cdf0f031113939"},"schema_version":"1.0","source":{"id":"1312.4250","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4250","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4250v2","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4250","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"4O26E2QBHSJL","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4O26E2QBHSJL5C7E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4O26E2QB","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:d38707517386153c53e26d9cd52f9cac4e22dcb2e4d5c384fe9ef6c8ec0e5557","target":"graph","created_at":"2026-05-18T02:52:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Effects of circulating energetic particles on the geodesic acoustic modes (GAMs) with finite wave numbers are analyzed by using the hybrid kinetic-fluid model. The dispersion relation is derived by adopting the slowing beam ions distribution function in the presence of finite parallel wave number (FPWN), which is shown to affect the GAM as the toroidal rotation to the classical GAMs with zero wave numbers. The effects of CEIs can be divided into two parts. One is contributed by the poloidal angle and kinetic energy dependencies of the unperturbed distribution function, and is independent of th","authors_text":"Haijun Ren","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-12-16T05:21:21Z","title":"Effects of Circulating Energetic Ions on Geodesic Acoustic Modes with Finite Wave Numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4250","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:df1d55d4169fa64c0a4ca553029bd720b26715544986c4c978306f847326bea7","target":"record","created_at":"2026-05-18T02:52:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"691c117188279c2d540e0c5f7b1c13296b071e40ed59e3db134993f1b13387ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-12-16T05:21:21Z","title_canon_sha256":"6fed5c028471397678a2587e9b9ac6a85b1af5b4fb4349af00cdf0f031113939"},"schema_version":"1.0","source":{"id":"1312.4250","kind":"arxiv","version":2}},"canonical_sha256":"e3b5e26a013c92be8be4f6f43b010427f38ef568616d5e04458bc77f479d7ac6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3b5e26a013c92be8be4f6f43b010427f38ef568616d5e04458bc77f479d7ac6","first_computed_at":"2026-05-18T02:52:34.143283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:34.143283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DFtSyvC97FiYz6CeGr/rGXCVKnVikvcD86rKzl4adWyCghj91FSbAx4rs4K55qbl2fuK+/cVtPzlLVhrRhJ9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:34.143728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4250","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df1d55d4169fa64c0a4ca553029bd720b26715544986c4c978306f847326bea7","sha256:d38707517386153c53e26d9cd52f9cac4e22dcb2e4d5c384fe9ef6c8ec0e5557"],"state_sha256":"e306725eeee6129449c3d3d9f3c115869d0794309f77a464bab25d0765afc3a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSkKrnqiIwlUI6yzlm2h0FLQ/Z/LwRc5135nOBqIZbqGXzpzsD9F7XjhvpHsY9vEoQbXYRleGNWGaN3o2I8xAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:41:58.434879Z","bundle_sha256":"5b058c1c9075c84d93a752b3a6ba822ead4dc0c3068afd2ab3f125eb0abed755"}}